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2142012405 = 3513194159239
BaseRepresentation
bin111111110101100…
…1000001111110101
312112021120111121210
41333223020033311
513341323344110
6552314432033
7104036543061
oct17753101765
95467514553
102142012405
119aa123695
124b9432619
13281a0a680
141646a4aa1
15c80b5520
hex7fac83f5

2142012405 has 128 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 954132480.

The previous prime is 2142012401. The next prime is 2142012409. The reversal of 2142012405 is 5042102412.

It is an interprime number because it is at equal distance from previous prime (2142012401) and next prime (2142012409).

It is not a de Polignac number, because 2142012405 - 22 = 2142012401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142012401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8962276 + ... + 8962514.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 22142012405 is an apocalyptic number.

It is an amenable number.

2142012405 is a deficient number, since it is larger than the sum of its proper divisors (1922243595).

2142012405 is a wasteful number, since it uses less digits than its factorization.

2142012405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2142012405 is about 46281.8798775503. The cubic root of 2142012405 is about 1289.0625573128.

Adding to 2142012405 its reverse (5042102412), we get a palindrome (7184114817).

The spelling of 2142012405 in words is "two billion, one hundred forty-two million, twelve thousand, four hundred five".

Divisors: 1 3 5 13 15 19 39 41 57 59 65 95 123 177 195 205 239 247 285 295 533 615 717 741 767 779 885 1121 1195 1235 1599 2301 2337 2419 2665 3107 3363 3585 3705 3835 3895 4541 5605 7257 7995 9321 9799 10127 11505 11685 12095 13623 14101 14573 15535 16815 22705 29397 30381 31447 36285 42303 43719 45961 46605 48995 50635 59033 68115 70505 72865 94341 127387 137883 146985 151905 157235 177099 183313 186181 211515 218595 229805 267919 295165 382161 471705 549939 558543 578141 597493 636935 689415 803757 885495 916565 930905 1339595 1734423 1792479 1910805 2420353 2749695 2792715 2890705 2987465 3482947 4018785 7261059 7515833 8672115 8962395 10448841 10984679 12101765 17414735 22547499 32954037 36305295 37579165 52244205 54923395 112737495 142800827 164770185 428402481 714004135 2142012405